Use of an efficient unbiased estimator for finite population mean

Abstract

In this study, we propose an improved unbiased estimator in estimating the finite population mean using a single auxiliary variable and rank of the auxiliary variable by adopting the Hartley-Ross procedure when some parameters of the auxiliary variable are known. Expressions for the bias and mean square error or variance of the estimators are obtained up to the first order of approximation. Four real data sets are used to observe the performances of the estimators and to support the theoretical findings. It turns out that the proposed unbiased estimator outperforms as compared to all other considered estimators. It is also observed that using conventional measures have significant contributions in achieving the efficiency of the estimators.

On the Performance of Bayesian Generalized Dissimilarity Model Estimator

“…Hence, estimators are chosen not only for their unbiasedness, but also for how widely their estimates vary from sample to sample [21]. RMSE is a metric that commonly used to evaluate bias and estimation accuracy [21,22]. Our result suggested that BGDM estimator is more accurate and has minimum standard error.…”

“…Moreover, identifying that an estimator is unbiased on mean is not very useful if the values of estimators fluctuate between samples. Hence, estimators are chosen not only for their unbiasedness, but also for how widely their estimates vary from sample to sample [21]. RMSE is a metric that commonly used to evaluate bias and estimation accuracy [21,22].…”

“…Our result suggested that BGDM estimator is more accurate and has minimum standard error. An unbiased estimator which has minimum standard error than other is called as efficient estimator [21]. Therefore, BGDM estimator is relatively efficient to BBGDM estimator.…”

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

“…Tailor and Lone (2014); Mehta and Tailor (2020); Singh and Nigam (2020) and suggested various ratio type estimators for estimation of population mean using different sampling methods. Oncel Cekim & Kadilar (2018); Javed et al (2019); Shabbir and Onyango (2022) and Oncel Cekim (2022) introduced unbiased estimators under various sampling methods.…”